4468262400 has 480 divisors, whose sum is σ = 18753799680. Its totient is φ = 1020764160.

The previous prime is 4468262387. The next prime is 4468262431. The reversal of 4468262400 is 42628644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418277 + ... + 2420123.

It is an arithmetic number, because the mean of its divisors is an integer number (39070416).

Almost surely, 2^4468262400 is an apocalyptic number.

4468262400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4468262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376899840).

4468262400 is an abundant number, since it is smaller than the sum of its proper divisors (14285537280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4468262400 is a wasteful number, since it uses less digits than its factorization.

4468262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4468262400 is about 66845.0626448955. The cubic root of 4468262400 is about 1647.0731584187.

The spelling of 4468262400 in words is "four billion, four hundred sixty-eight million, two hundred sixty-two thousand, four hundred".